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Extensions 1→N→G→Q→1 with N=C5×C4.Q8 and Q=C2

Direct product G=N×Q with N=C5×C4.Q8 and Q=C2
dρLabelID
C10×C4.Q8320C10xC4.Q8320,926

Semidirect products G=N:Q with N=C5×C4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.Q8)⋊1C2 = D40⋊14C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8804(C5xC4.Q8):1C2320,46
(C5×C4.Q8)⋊2C2 = C8⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):2C2320,488
(C5×C4.Q8)⋊3C2 = C8⋊2D20φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):3C2320,492
(C5×C4.Q8)⋊4C2 = C8.2D20φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):4C2320,495
(C5×C4.Q8)⋊5C2 = D40⋊15C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):5C2320,496
(C5×C4.Q8)⋊6C2 = Dic5⋊8SD16φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):6C2320,479
(C5×C4.Q8)⋊7C2 = D5×C4.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):7C2320,486
(C5×C4.Q8)⋊8C2 = (C8×D5)⋊C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):8C2320,487
(C5×C4.Q8)⋊9C2 = C8⋊8D20φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):9C2320,491
(C5×C4.Q8)⋊10C2 = C5×D8⋊2C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8804(C5xC4.Q8):10C2320,165
(C5×C4.Q8)⋊11C2 = C5×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):11C2320,929
(C5×C4.Q8)⋊12C2 = C5×D8⋊C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):12C2320,943
(C5×C4.Q8)⋊13C2 = C5×C8⋊2D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):13C2320,970
(C5×C4.Q8)⋊14C2 = C5×C8.D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):14C2320,971
(C5×C4.Q8)⋊15C2 = D10.12SD16φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):15C2320,489
(C5×C4.Q8)⋊16C2 = D10.17SD16φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):16C2320,490
(C5×C4.Q8)⋊17C2 = C4.Q8⋊D5φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):17C2320,493
(C5×C4.Q8)⋊18C2 = C20.(C4○D4)φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):18C2320,494
(C5×C4.Q8)⋊19C2 = D20⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):19C2320,497
(C5×C4.Q8)⋊20C2 = D20.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):20C2320,498
(C5×C4.Q8)⋊21C2 = C5×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):21C2320,966
(C5×C4.Q8)⋊22C2 = C5×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):22C2320,977
(C5×C4.Q8)⋊23C2 = C5×D4.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):23C2320,979
(C5×C4.Q8)⋊24C2 = C5×C23.46D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):24C2320,982
(C5×C4.Q8)⋊25C2 = C5×C23.19D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):25C2320,983
(C5×C4.Q8)⋊26C2 = C5×C23.47D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):26C2320,984
(C5×C4.Q8)⋊27C2 = C5×C23.20D4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8160(C5xC4.Q8):27C2320,986
(C5×C4.Q8)⋊28C2 = C5×C23.25D4φ: trivial image160(C5xC4.Q8):28C2320,928
(C5×C4.Q8)⋊29C2 = SD16×C20φ: trivial image160(C5xC4.Q8):29C2320,939

Non-split extensions G=N.Q with N=C5×C4.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×C4.Q8).1C2 = C8.Dic10φ: C2/C1 → C2 ⊆ Out C5×C4.Q8804(C5xC4.Q8).1C2320,45
(C5×C4.Q8).2C2 = Dic20⋊15C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).2C2320,480
(C5×C4.Q8).3C2 = C40⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).3C2320,483
(C5×C4.Q8).4C2 = C40⋊5Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).4C2320,482
(C5×C4.Q8).5C2 = C8.8Dic10φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).5C2320,485
(C5×C4.Q8).6C2 = C5×C8.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8804(C5xC4.Q8).6C2320,170
(C5×C4.Q8).7C2 = C5×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).7C2320,942
(C5×C4.Q8).8C2 = C5×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).8C2320,1002
(C5×C4.Q8).9C2 = Dic10⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).9C2320,481
(C5×C4.Q8).10C2 = Dic10.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).10C2320,484
(C5×C4.Q8).11C2 = C5×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).11C2320,976
(C5×C4.Q8).12C2 = C5×Q8.Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).12C2320,980
(C5×C4.Q8).13C2 = C5×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).13C2320,999
(C5×C4.Q8).14C2 = C5×C8.5Q8φ: C2/C1 → C2 ⊆ Out C5×C4.Q8320(C5xC4.Q8).14C2320,1000

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